40322033432010 has 256 divisors, whose sum is σ = 124384050593280. Its totient is φ = 9186438942720.

The previous prime is 40322033431943. The next prime is 40322033432011. The reversal of 40322033432010 is 1023433022304.

40322033432010 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 2 + 0 + 334 + 320 + 1 + 0 = 666.

40322033432010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40322033432011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33591912 + ... + 34771548.

It is an arithmetic number, because the mean of its divisors is an integer number (485875197630).

Almost surely, 2^{40322033432010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40322033432010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62192025296640).

40322033432010 is an abundant number, since it is smaller than the sum of its proper divisors (84062017161270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40322033432010 is a wasteful number, since it uses less digits than its factorization.

40322033432010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180358 (or 1180352 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 40322033432010 its reverse (1023433022304), we get a palindrome (41345466454314).

The spelling of 40322033432010 in words is "forty trillion, three hundred twenty-two billion, thirty-three million, four hundred thirty-two thousand, ten".